Invariants of Legendrian Knots

By Yu. V. Chekanov. 2003

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We present two different constructions of invariants for Legendrian knots in the standard contact space R3. These invariants are defined conibinatorially, in terms of certain planar projections, and are useful in distinguishin g Leg­ endrian knots that have the same classical invariants but are not Legendrian isotopie.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0b11122c047a256f6e56c56ac1da524c9af6074f